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Finding the Fourth Proportional to 2,097.57, 2,894.73 and 1,201.45

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Solution

The fourth proportional to 2,097.57, 2,894.73 and 1,201.45 is: 1,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.57 : 2,894.73 = 1,201.45 : x
  2. Step 2: Convert to fraction form
    2,097.57/2,894.73 = 1,201.45/x
  3. Step 3: Cross multiply
    2,097.57x = 2,894.73 × 1,201.45
  4. Step 4: Simplify right side
    2,097.57x = 3,477,873.36
  5. Step 5: Solve for x
    x = 3,477,873.36/2,097.57
  6. Step 6: Final answer
    x = 1,658.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.